• Hyperbolic Poincare Projection

Welcome to the Kollár Research Group

The field of circuit QED has emerged as a rich platform for both quantum computation and quantum simulation. Lattices of coplanar waveguide (CPW) resonators realize artificial photonic materials in the tight-binding limit. Combined with strong qubit-photon interactions, these systems can be used to study dynamical phase transitions, many-body phenomena, and spin models in driven-dissipative systems. These waveguide cavities are uniquely deformable and can produce lattices and networks which cannot readily be obtained in other systems, including periodic lattices in a hyperbolic space of constant negative curvature, and the one-dimensional nature of CPW resonators leads to degenerate flat bands. In our lab, we build experimental implementations of these systems using superconducting circuits.

Postdoc and graduate student positions available! Send email to: akollar@umd.edu

Group News

  • June 09, 2021

    Our recent paper "Gap Sets for the Spectra of Cubic Graphs" which harnesses condensed-matter-physics methods for computing tight-binding band structures to tackle questions about the possible spectra of adjacency operators on 3-regular graphs was accepted for publication in a new journal of the A

  • May 14, 2020

    New mathematical physics result is on the arXiv (2005.05379), including unique quasi-one-dimensional lattices with the largest possible bang gaps.

  • October 07, 2019

    Our mathematical-physics paper on the connection between circuit QED lattices and combinatorial graph theory (Line-Graph Lattices: Euclidean and Non-Euclidean Flat Bands and Implementations in Circuit QED) was accepted fro Publication in a mathematical journal: "Communications in Mathema

  • October 04, 2019

    JQI has named four new Fellows in 2019, bringing the total number to 35. All four of the new arrivals have appointments in the Department of Physics at the University of Maryland.